Given sin θ = square root of 23 divided by 12 and tan θ = square root of 23 divided by 11, find cos θ. enter the answer as a fraction in lowest terms.

In triangle abc segment de is parallel to the side ac . (the endpoints of segment de lie on the sides ab and bc respectively). find de, if ac=20cm, ab=17cm, and bd=11.9cm;

The owner of the plant nursery where you were tells you to fill 350 ml bottles from a 30 l from a fertilizer

The number of calories you burn depends on your weight. a 110-pound person burns 163 calories during 30 minutes of tennis. find the number of calories that a 190-pound person would burn during the same activity, assuming they burn calories at the same rate.